5014-Integration Inverse Trig AP Calculus
Remember Patterns: 1 x y x y 1 x y 1
Remember Derivaties:
Generalize: Looks like arcsin pattern except NOT 1 -
MEMORIZE ! a is a constant. u = f (x)
Examples: Straight Plug In
Examples: Normal U - du Problem ? Inverse Trig. (also has a U-du component)
Arctan vs. Ln Always check ln first !
Example (introduce a variable factor): U - du ???? arcsec ???? REM: NEVER CROSS the with a variable ! ! !
Example (introduce a variable factor): arcsec ???? U - du
Examples (Complete the square): ADD ZERO -
Examples (Complete the square): Negative lead
Examples (Complete the square): Non-one lead
Examples (THINK): ADD ZERO
Last Update: 02/06/06 Assignment: Worksheet Larson 5.8